Explanation
Prime factorisation of $$ 11025 = {5} ^{2} \times { 3 } ^ {2} \times { 7 } ^ {2} $$$$ \sqrt {11025} = \sqrt {{5} ^{2} \times { 3 } ^ {2} \times { 7 } ^ {2}} = 5 \times 3 \times 7= 105 $$.
Prime factorisation of $$5184$$ can be obtained as,
$$ 5184 =2\times2\times2\times2\times2\times2\times3\times3\times3\times3$$
$$= {2} ^{6} \times { 3 } ^ {4} $$$$\therefore \sqrt {5184} = \sqrt {{2} ^{6} \times { 3 } ^ {4}} = {2} ^{3} \times { 3 } ^ {2} = 8 \times 9 = 72 $$
State true or false:
The square root of 0.008 correct to three decimal places is 0.089.
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